t= 0 O40-ww- R1 iz(t) Vs R2

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Question

The inductor L in the circuit shown in Figure P5.36
is the coil of a relay. When the current through the coil
is equal to or greater than +2 mA, the relay functions.
Assume steady-state conditions at t < 0. If
VS = 12 V, L = 10.9 mH, R1 = 3.1 kΩ

determine R2 so that the relay functions at t = 2.3 s.

t= 0
O40-ww-
R1
iz(t)
Vs
R2
Transcribed Image Text:t= 0 O40-ww- R1 iz(t) Vs R2
Expert Solution
Step 1

For t < 0,

The current through the inductor is zero.

Electrical Engineering homework question answer, step 1, image 1

As the inductor does not allow the sudden change in the current, hence the current just after the switch is closed will be zero.

Electrical Engineering homework question answer, step 1, image 2

Step 2

Draw the circuit just after the switch is closed.

Electrical Engineering homework question answer, step 2, image 1

Step 3

Find the voltage across the inductor using nodal analysis.

Electrical Engineering homework question answer, step 3, image 1

Step 4

Compare the equation with the standard first-order differential equation and find the value of the time constant.

Electrical Engineering homework question answer, step 4, image 1

 

Step 5

Redraw the circuit for t = ∞.

Electrical Engineering homework question answer, step 5, image 1

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